Question

tìm x biết:

1/4.2/6.3/8. ... .30/62.31/64=2^x

Answer 1

\(\frac{1}{4}\times\frac{2}{6}\times\frac{3}{8}\times...\times\frac{30}{62}\times\frac{31}{64}=2^x\)

\(\Rightarrow\) \(\frac{1\times2\times3\times...\times30\times31}{4\times6\times8\times...\times62\times64}=2^x\)

\(\Rightarrow\frac{1}{2^{31}}=2^x\)\(\Rightarrow1=2^x\times2^{31}\)

\(\Rightarrow2^{x+31}=2^0\)

\(\Rightarrow x+31=0\Rightarrow x=\left(-31\right)\)

Answer 2

Vân Anh thế còn \(\frac{1}{64}\)đâu